%I #3 Mar 30 2012 17:37:43
%S 2,4,6,8,12,16,24,32,36,48,64,72,96,120,128,144,192,216,240,256,288,
%T 384,432,480,512,576,720,768,864,960,1024,1152,1296,1440,1536,1728,
%U 1920,2048,2304,2592,2880,3072,3456,3840,4096,4320,4608,5040,5184,5760
%N Product of the factorials of prime numbers, repetitions allowed.
%C A109104! is a subsequence of this sequence. Also this sequence is a subsequence of A001013 and is not equal to A001013. 14! is the earliest term of A001013 which is greater than 1 and is not in the present sequence. All numbers of the form 2^m*3^n where m is positive and n is not greater than m are in the sequence. If p is prime and p+1 is in the sequence then p+1 is a term of the sequence A109104.
%e 5760=2!*2!*2!*3!*5! so 5760 is in the sequence.
%Y Cf. A001013, A109104.
%K nonn
%O 1,1
%A _Farideh Firoozbakht_, Feb 03 2006